(1)设派x名消防员前去救火,用t分钟将火扑灭,总损失为y元,则t=
=5×100 50x?100
.10 x?2
(2)y=灭火材料、劳务津贴+车辆、器械、装备费+森林损失费
=125tx+100x+60(500+100t)
=125×
+100x+30000+10 x?2
=1250×60000 x?2
+100(x?2+2)+30000+x?2+2 x?2
60000 x?2
=31450+100(x-2)+
62500 x?2
≥31450+2
=36450,
100×62500
当且仅当100(x-2)=
,62500 x?2
即x=27时,y有最小值36450.
答:应该派27名消防员前去救火,才能使总损失最少,最少损失为36450元.